A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems
Keyword(s):
A Priori
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This paper discusses spectral and spectral element methods with Legendre-Gauss-Lobatto nodal basis for general 2nd-order elliptic eigenvalue problems. The special work of this paper is as follows. (1) We prove a priori and a posteriori error estimates for spectral and spectral element methods. (2) We compare between spectral methods, spectral element methods, finite element methods and their derivedp-version,h-version, andhp-version methods from accuracy, degree of freedom, and stability and verify that spectral methods and spectral element methods are highly efficient computational methods.
2019 ◽
Vol 144
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pp. 42-58
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2014 ◽
Vol 82
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pp. 51-67
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2013 ◽
Vol 57
(6)
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pp. 1319-1329
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2012 ◽
Vol 62
(5)
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pp. 580-591
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Keyword(s):
2017 ◽
Vol 327
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pp. 4-35
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